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This paper contributes to a burgeoning area of investigation, the ambiguity inherent in mathematics and the implications for physics of this ambiguity. To display the mathematical form of equations of quantum theory used to describe…

量子物理 · 物理学 2014-09-22 John M. Myers , F. Hadi Madjid

Experimental evidence, the heuristics of indistinguishability, and its logical inconsistency with quantum formalism all argue against the existence of a quantum mixture uncorrelated with the exterior, that is, argue for the postulate "The…

量子物理 · 物理学 2007-05-23 K. A. Kirkpatrick

We argue that measurement data in quantum physics can be rigorously interpreted only as a result of a statistical, macroscopic process, taking into account the indistinguishable character of identical particles. Quantum determinism is in…

综合物理 · 物理学 2025-07-22 Patrick Navez , Henni Ouerdane

In this paper we show that interaction-free measurements, which have been object of much discussion in the last few decades, can be explained in a natural and intuitive way in the framework of complex nonlinear quantum physics, contrary to…

量子物理 · 物理学 2017-02-10 António Cardoso , João L. Cordovil , José R. Croca

Starting from a simple estimation problem, here we propose a general approach for decoding quantum measurements from the perspective of information extraction. By virtue of the estimation fidelity only, we provide surprisingly simple…

量子物理 · 物理学 2022-10-04 Huangjun Zhu

There is a constraining relation between the reliability of a quantum measurement and the extent to which the measurement process is, in principle, reversible. The greater the information that is gained, the less reversible the measurement…

量子物理 · 物理学 2009-01-09 S. J. van Enk , M. G. Raymer

It has been proposed that measurement in quantum mechanics results from spontaneous breaking of a symmetry of the measuring apparatus and could be a unitary process that preserves coherence. Viewed in this manner, it is argued,…

量子物理 · 物理学 2015-02-16 Partha Ghose

Environment induced decoherence, and other quantum processes, have been proposed in the literature to explain the apparent spontaneous selection - out of the many mathematically eligible bases - of a privileged measurement basis that…

综合物理 · 物理学 2016-09-27 Hitoshi Inamori

The interpretations of a particular quantum gedanken experiment provided by Bohmian mechanics and consistent histories are shown to contradict each other, both in the absence and in the presence of a measuring device. The consistent history…

量子物理 · 物理学 2009-10-31 Robert B. Griffiths

We demonstrate equilibration of isolated many-body systems in the sense that, after initial transients have died out, the system behaves practically indistinguishable from a time-independent steady state, i.e., non-negligible deviations are…

统计力学 · 物理学 2016-07-22 Ben N. Balz , Peter Reimann

For an arbitrary preparation, quantum mechanical descriptions refer to the complementary contexts set by incompatible measurements. We argue that an arbitrary preparation, therefore, should be described with respect to such a context by its…

量子物理 · 物理学 2009-11-10 Mohammad Mehrafarin

Quantitative measures are introduced for the indistinguishability $U$ of two quantum states in a given measurement and the amount of interference $I$ observable in this measurement. It is shown that these measures obey an inequality $U\geq…

量子物理 · 物理学 2007-05-23 Jos Uffink , Jan Hilgevoord

In Brukner and Zeilinger's interpretation of quantum mechanics, information is introduced as the most fundamental notion and the finiteness of information is considered as an essential feature of quantum systems. They also define a new…

量子物理 · 物理学 2016-09-08 Afshin Shafiee , Feryal Safinejad , Farnoush Naqsh

The Everett interpretation of quantum mechanics divides naturally into two parts: first, the interpretation of the structure of the quantum state, in terms of branching, and second, the interpretation of this branching structure in terms of…

量子物理 · 物理学 2021-03-03 Simon Saunders

Everett's relative states interpretation of quantum mechanics has met with problems related to probability, the preferred basis, and multiplicity. The third theme, I argue, is the most important one. It has led to developments of the…

量子物理 · 物理学 2011-08-10 Louis Marchildon

One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbitrary precision. In an information-theoretic context of…

量子物理 · 物理学 2017-11-08 Jian Xing , Yu-Ran Zhang , Shang Liu , Yan-Chun Chang , Jie-Dong Yue , Heng Fan , Xin-Yu Pan

Irreversibility in quantum measurements is considered from the point of quantum information theory. For that purpose the information transfer between the measured object S and measuring system O is analyzed. It's found that due to the…

量子物理 · 物理学 2012-05-29 S. N. Mayburov

We consider quantum mechanics on constrained surfaces which have non-Euclidean metrics and variable Gaussian curvature. The old controversy about the ambiguities involving terms in the Hamiltonian of order hbar^2 multiplying the Gaussian…

量子物理 · 物理学 2009-08-14 L. Kaplan , N. T. Maitra , E. J. Heller

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

量子物理 · 物理学 2018-07-02 Rocco Duvenhage

A measurement is deemed successful, if one can maximize the information gain by the measurement apparatus. Here, we ask if quantum coherence of the system imposes a limitation on the information gain during quantum measurement. First, we…

量子物理 · 物理学 2020-04-02 Gautam Sharma , Sk Sazim , Arun Kumar Pati